{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Grid Distortion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from optiland.analysis import GridDistortion\n",
    "from optiland.samples.objectives import LensWithFieldCorrector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "lens = LensWithFieldCorrector()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "tags": [
     "nbsphinx-thumbnail"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x550 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "grid_distortion = GridDistortion(lens)\n",
    "grid_distortion.view()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
